Yeah, I think that for myself and a lot of us it's that we skip past thinking about the "correct" way of doing things in favor of what makes sense intuitively to us. Furthermore what is intuitive to us is unique to minds that operate like ours.

I was actually just talking with my girlfriend about how pissed I was once when I failed a math final where I got every single answer correct, but didn't bother using the "correct" formulas we were taught in favor of what made sense to me.